Question

1. an impulse of 24 ns acts on a baseball from a bat. what is the force applied to the ball from bat if the ball is in contact with the ball for only 0.0007s.

Explanation:

Step1: Recall the impulse formula

Impulse \(J = F\times\Delta t\), where \(J\) is impulse, \(F\) is force, and \(\Delta t\) is time interval.

Step2: Rearrange the formula to solve for force

\(F=\frac{J}{\Delta t}\)

Step3: Substitute the given values

Given \(J = 24\space Ns\) and \(\Delta t=0.0007\space s\), then \(F=\frac{24}{0.0007}\)
\(F=\frac{24}{\frac{7}{10000}}=\frac{24\times10000}{7}=\frac{240000}{7}\approx34285.71\space N\)

Answer:

\(34285.71\space N\)